Evaluate the following integrals:
To Find :
Now, let x be written as -
(1 - 2x) and split
Therefore ,
=
= +
Now solving,
Let = u
dx =
Thus,becomes
Now , =
=
) =
=
Now solving,
can be written as
i.e, =
let 2x – 1 = y dx =
Therefore , becomes
Formula Used: =
+
+ C
Since is of the form
with change in variable .
Hence, =
+
+ C
= +
+ C
Since , 2x – 1 = y and dx =
Therefore,
=
+
+ C
i.e, =
+
+ C
hence , =
+
= =
+
+
+ C